Document Type
Article
Publication Date
2017
Publication Source
Communications on Applied Nonlinear Analysis
Abstract
In this paper, the compression contraction fixed point theorem is applied to a right focal boundary value problem for a second order ordinary differential equation to provide sufficient conditions for existence of solutions in a cone. The nonlinear term is a function of three variables and singularities are allowed. A cone is defined in the Banach space C1[0, 1] and concavity of derivatives of solutions plays a key role. A family of examples is provided in which explicit sufficient conditions are exhibited.
Inclusive pages
101-108
ISBN/ISSN
1074-133X
Document Version
Published Version
Volume
24
Issue
4
Peer Reviewed
yes
eCommons Citation
Abid, Ahlam and Eloe, Paul, "Positive solutions of boundary value problems for ordinary differential equations with dependence on higher order derivatives" (2017). Mathematics Faculty Publications. 129.
https://ecommons.udayton.edu/mth_fac_pub/129
Comments
This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.